A game with two players choosing the coefficients of a polynomial

DOI10.1007/s40840-021-01219-3zbMath1496.91035OpenAlexW4205557756MaRDI QIDQ2117572

Arturas Dubickas

Publication date: 21 March 2022

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-021-01219-3

zbMATH Keywords

Galois grouproots of polynomialsHilbert's irreducibility theorem

Mathematics Subject Classification ID

2-person games (91A05) Polynomials (irreducibility, etc.) (11R09) Combinatorial games (91A46)

Cites Work

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• Enumerative Galois theory for cubics and quartics
• S-unit equations over number fields
• Linear equations in variables which lie in a multiplicative group
• The number of solutions of decomposable form equations
• On the coefficient-choosing game
• Seltenheit der Gleichungen mit Affekt bei linearem Parameter
• An Elementary Test for the Galois Group of a Quartic Polynomial
• Galois Theory of Reciprocal Polynomials
• The Coefficient-Choosing Game
• Polynomials of certain special types
• On Hilbert’s irreducibility theorem

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